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Simplifying Dx + -1(1 + 2xtany) * dy = 0 Reorder the terms for easier multiplication: xD + -1dy(1 + 2antxy) = 0 xD + (1 * -1dy + 2antxy * -1dy) = 0 Reorder the terms: xD + (-2adntxy2 + -1dy) = 0 xD + (-2adntxy2 + -1dy) = 0 Reorder the terms: -2adntxy2 + -1dy + xD = 0 Solving -2adntxy2 + -1dy + xD = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'dy' to each side of the equation. -2adntxy2 + -1dy + dy + xD = 0 + dy Combine like terms: -1dy + dy = 0 -2adntxy2 + 0 + xD = 0 + dy -2adntxy2 + xD = 0 + dy Remove the zero: -2adntxy2 + xD = dy Add '-1xD' to each side of the equation. -2adntxy2 + xD + -1xD = dy + -1xD Combine like terms: xD + -1xD = 0 -2adntxy2 + 0 = dy + -1xD -2adntxy2 = dy + -1xD Divide each side by '-2dntxy2'. a = -0.5n-1t-1x-1y-1 + 0.5d-1n-1t-1y-2D Simplifying a = -0.5n-1t-1x-1y-1 + 0.5d-1n-1t-1y-2D Reorder the terms: a = 0.5d-1n-1t-1y-2D + -0.5n-1t-1x-1y-1
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